An orifice with a diameter of 3.94 in is inserted in a pipe of 7.87 in diameter. The pressure gauges fitted upstream and downstream of the orifice meter gives a reading of 19.69 N/cm2 and 9.81 N/cm2. Coefficient of discharge for the meter is given as 0.6. Find the discharge of water through pipe in m3/s. #use the pictures as reference as needed in your solution

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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4. An orifice with a diameter of 3.94 in is inserted in a pipe of 7.87 in diameter. The pressure gauges fitted upstream and downstream of the orifice meter gives a reading of 19.69 N/cm2 and 9.81 N/cm2. Coefficient of discharge for the meter is given as 0.6. Find the discharge of water through pipe in m3/s.

#use the pictures as reference as needed in your solution

DEVELOPED HEAD:
Bernoulli Equation:
(P2 azV
+ 2
2gc
g
+ z1
gc
Притр Wритр
P2
gc
2gc
The quantities in parenthesis are called TOTAL HEADS and are denoted by H.
Therefore:
Wp
Нь-На
ΔΗ
POWER REQUIREMENT:
PB = m Wp = m AH
mΔΗ
Pi
where:
Pa, Pb = pressure at the suction and discharge lines
V = velocity
H = total head
PB = the power supplied to the pump
Z = height above the datum plane
P; = the power delivered to the fluid
%3D
Transcribed Image Text:DEVELOPED HEAD: Bernoulli Equation: (P2 azV + 2 2gc g + z1 gc Притр Wритр P2 gc 2gc The quantities in parenthesis are called TOTAL HEADS and are denoted by H. Therefore: Wp Нь-На ΔΗ POWER REQUIREMENT: PB = m Wp = m AH mΔΗ Pi where: Pa, Pb = pressure at the suction and discharge lines V = velocity H = total head PB = the power supplied to the pump Z = height above the datum plane P; = the power delivered to the fluid %3D
NET POSITIVE SUCTION HEAD (NPSH):
the difference between the static head at the suction inlet and the head
corresponding to the vapor pressure of the liquid at the pump inlet
P,
hf suction
9c (Par –
NPSH =
g
- Za
where:
Pa' = abs. Pressure at the surface of the reservoir
Pv = vapor pressure
Za = height from the surface of the of the reservoir to the suction point in the
pump
Transcribed Image Text:NET POSITIVE SUCTION HEAD (NPSH): the difference between the static head at the suction inlet and the head corresponding to the vapor pressure of the liquid at the pump inlet P, hf suction 9c (Par – NPSH = g - Za where: Pa' = abs. Pressure at the surface of the reservoir Pv = vapor pressure Za = height from the surface of the of the reservoir to the suction point in the pump
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